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1344100320 = 25325933403
BaseRepresentation
bin101000000011101…
…0101011111100000
310110200011101000100
41100013111133200
510223042202240
6341212422400
745210443553
oct12007253740
93420141010
101344100320
1162a789512
12316177a00
13185608c44
14ca72069a
157d001e30
hex501d57e0

1344100320 has 72 divisors (see below), whose sum is σ = 4586747256. Its totient is φ = 358426368.

The previous prime is 1344100301. The next prime is 1344100349. The reversal of 1344100320 is 230014431.

1344100320 is a `hidden beast` number, since 1 + 344 + 1 + 0 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1344100293 and 1344100302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 465262 + ... + 468141.

It is an arithmetic number, because the mean of its divisors is an integer number (63704823).

Almost surely, 21344100320 is an apocalyptic number.

1344100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1344100320 is an abundant number, since it is smaller than the sum of its proper divisors (3242646936).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1344100320 is a wasteful number, since it uses less digits than its factorization.

1344100320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933424 (or 933413 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1344100320 is about 36661.9737602874. The cubic root of 1344100320 is about 1103.5971277337.

Adding to 1344100320 its reverse (230014431), we get a palindrome (1574114751).

The spelling of 1344100320 in words is "one billion, three hundred forty-four million, one hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 933403 1866806 2800209 3733612 4667015 5600418 7467224 8400627 9334030 11200836 14001045 14934448 16801254 18668060 22401672 28002090 29868896 33602508 37336120 42003135 44803344 56004180 67205016 74672240 84006270 89606688 112008360 134410032 149344480 168012540 224016720 268820064 336025080 448033440 672050160 1344100320